A NON-HYPERSINGULAR BOUNDARY INTEGRAL FORMULATION FOR DISPLACEMENT GRADIENTS IN LINEAR ELASTICITY

Based on boundary displacement and traction, a non-hypersingular bound ary integral formulation is developed for the displacement gradient. A t an arbitrary boundary point where the displacement field at least sa tisfies a Holder condition (u(k) is an element of C-1,C-gamma with gam ma > 0), the displacement gradient can be calculated by the Cauchy Pri ncipal Value (CPV) integration. The hypersingularity involved in conve ntional formulation is circumvented by applying rigid body translation . The numerical implementation of the present formulation is illustrat ed, and both direct and indirect approaches are discussed. For two-dim ensional problems, the coefficients involved in the direct approach ar e analytically derived. The stress formulation is also discussed. Fina lly, numerical examples are presented to validate the present formulat ion.